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harina [27]
2 years ago
15

Please help!!!!!!!!!!!!

Mathematics
1 answer:
vladimir2022 [97]2 years ago
7 0
Use the distance formula:

x2 is 1 and x1 is -2
y2 is root7 and y1 is 0

Point (X1,Y1) is basically the coordinate of the centre point of the circle

Point (X2,Y2) is the point that on the circle

So if the point(1,root7) is on the circle, the final distance you get should be the radius of the circle, which is 4 units

Calculate it and you can get the answer that is 4

Therefore the point (1,root7) is on the circle
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Parts being manufactured at a plant are supposed to weigh 65 grams. Suppose the distribution of weights has a Normal distributio
andrew-mc [135]

Answer:

0.64%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 75 grams and a standard deviation of 22 grams.

This means that \mu = 75, \sigma = 22

Sample of 144:

This means that n = 144, s = \frac{22}{\sqrt{144}} = 1.8333

More than 80 or less than 70:

Both are the same distance from the mean, so we find one probability and multiply by 2.

The probability that it is less than 70 is the pvalue of Z when X = 70. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{70 - 75}{1.8333}

Z = -2.73

Z = -2.73 has a pvalue of 0.0032

2*0.0032 = 0.0064.

0.0064*100% = 0.64%

The probability is 0.64%.

3 0
3 years ago
Who is farther? a a Briel and Daniela are siblings. One day, Briel decided to go on a mountain climbing but Daniela went to the
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Answer:

Daniela is 20 ft away from land while Briel is 25 ft away from land. They are 45 ft away from each other.

Step-by-step explanation:

4 0
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Answer:

x= -5

Step-by-step explanation:

Divide each term by

5

and simplify.

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???????????i need help on this ASAP!!!!
ioda
Super easy all you do is grab 3500*0.7306 which equals 2557.1 2557.1 is correct hope this helps
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All 203 students at Polk school eat lunch at the same time One day 19 students were absent if 8 students sit at each table yhw l
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Answer:

23 tables

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